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Place Value Expansion

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Place Value Expansion

Use place value to expand, build and compare numbers. Write each number in expanded form by adding the value of its digits.

Hundred thousands 100 000

Ten thousands 10 000

Thousands 1 000

Hundreds 100

Tens 10

Ones 1

Decode the scoreboards

The numbers below are fictional totals from a community sports day.

1.The blue team scored 46 208 points. Which is its expanded form?
  • 40 000 + 6 000 + 200 + 8
  • 4 000 + 600 + 20 + 8
  • 40 000 + 600 + 20 + 8
2.A relay team recorded 73 405 metres altogether. Write 73 405 in expanded form. You may leave out any place-value parts worth zero.
3.The green team scored 80 000 + 2 000 + 60 + 9 points. What is the total as a numeral?
4.In the total 58 316, what is the value of the digit 8?
  • 8
  • 800
  • 8 000
5.Fill in the missing part: 64 702 = 60 000 + 4 000 + + 2.

Spot the place-value clues

Check the digit positions carefully. A zero can hold a place even when it adds no value.

6.True or false? The expanded form of 90 506 is 90 000 + 500 + 6.
TrueFalse
7.Match each expanded form to its numeral.
  • 30 000 + 5 000 + 200 + 10 + 4
  • 30 000 + 500 + 20 + 4
  • 30 000 + 5 000 + 20 + 4
  • 30 524
  • 35 214
  • 35 024
8.Put the team totals in order from smallest to largest: 48 305, 48 350, 48 053, 48 503.
480004810048200483004840048500
9.A scoreboard shows 106 040 points. Explain why the zero in the hundreds place does not change the value of the number, and write the expanded form.
10.The winning total is 5 ten-thousands, 3 thousands, 0 hundreds, 8 tens and 6 ones. Write the number and its expanded form.

2 printable pages

  • Place Value Expansion, page 1 of 2: Decode the scoreboards

    Page 1

  • Place Value Expansion, page 2 of 2: Spot the place-value clues

    Page 2

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